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# Solutions for Chapter 1.4: APPLICATIONS OF FUNCTIONS TO ECONOMICS ## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920 Solutions for Chapter 1.4: APPLICATIONS OF FUNCTIONS TO ECONOMICS

Solutions for Chapter 1.4
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##### ISBN: 9781118174920

Applied Calculus was written by and is associated to the ISBN: 9781118174920. Since 44 problems in chapter 1.4: APPLICATIONS OF FUNCTIONS TO ECONOMICS have been answered, more than 20531 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Chapter 1.4: APPLICATIONS OF FUNCTIONS TO ECONOMICS includes 44 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Average rate of change of ƒ over [a, b]

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

• Binomial coefficients

The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

• Bounded interval

An interval that has finite length (does not extend to ? or -?)

• Confounding variable

A third variable that affects either of two variables being studied, making inferences about causation unreliable

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Dependent variable

Variable representing the range value of a function (usually y)

• Equal complex numbers

Complex numbers whose real parts are equal and whose imaginary parts are equal.

• Feasible points

Points that satisfy the constraints in a linear programming problem.

• Fibonacci sequence

The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

• Imaginary part of a complex number

See Complex number.

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Polynomial in x

An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

• Random behavior

Behavior that is determined only by the laws of probability.

• Real number

Any number that can be written as a decimal.

• Sequence

See Finite sequence, Infinite sequence.

• Slant line

A line that is neither horizontal nor vertical

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.

• Zero of a function

A value in the domain of a function that makes the function value zero.

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